3. In the Hall of Science, a biology major is tracking the growth of a certain bacteria. This bac- teria is known to grow exponentially initially. The following is a table of data for the weight of the sample of bacteria for several hours of monitoring. Time (in hours) Weight (in grams) 5. 60.84 ERROR 80.45 2 1. 46.00 4. 52.90 754 (a) (C08) What is the hourly growth factor for the bacteria for the first three hours? (b) (C13) There was an error in the measurement at hour 4. What should the student expect the hour 4 weight of the sample to be? The student continues to track the data for several more hours: Time (in hours) Weight (in grams) 9. 106.40 14.48 RA 8. 120.88 6. 134.16 92.52 148.04 (c) (C15) The student notices that growth eventually stopped following an exponential model. At what hour did this happen? Day 1 is when it stops. (d) (C01) What could be a reason why the exponential growth eventually stops? Because the bacteria cald have been maw put in a new envinonment Page 5

3. In the Hall of Science, a biology major is tracking the growth of a certain bacteria. This bac- teria is known to grow exponentially initially. The following is a table of data for the weight of the sample of bacteria for several hours of monitoring. Time (in hours) Weight (in grams) 5. 60.84 ERROR 80.45 2 1. 46.00 4. 52.90 754 (a) (C08) What is the hourly growth factor for the bacteria for the first three hours? (b) (C13) There was an error in the measurement at hour 4. What should the student expect the hour 4 weight of the sample to be? The student continues to track the data for several more hours: Time (in hours) Weight (in grams) 9. 106.40 14.48 RA 8. 120.88 6. 134.16 92.52 148.04 (c) (C15) The student notices that growth eventually stopped following an exponential model. At what hour did this happen? Day 1 is when it stops. (d) (C01) What could be a reason why the exponential growth eventually stops? Because the bacteria cald have been maw put in a new envinonment Page 5

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...

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